920713248 has 432 divisors, whose sum is σ = 3472822080. Its totient is φ = 224695296.

The previous prime is 920713223. The next prime is 920713271. The reversal of 920713248 is 842317029.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21411915 + ... + 21411957.

It is an arithmetic number, because the mean of its divisors is an integer number (8038940).

Almost surely, 2^920713248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 920713248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1736411040).

920713248 is an abundant number, since it is smaller than the sum of its proper divisors (2552108832).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

920713248 is a wasteful number, since it uses less digits than its factorization.

920713248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 920713248 is about 30343.2570433696. The cubic root of 920713248 is about 972.8401008003.

The spelling of 920713248 in words is "nine hundred twenty million, seven hundred thirteen thousand, two hundred forty-eight".